290 The Laws of Motion of a Cylinder, &c. 
D, E, K, may be found by the common rule: for 
"Seite oe ae a: ere ae.” 
ftp ct x Asc; andA=s ee 7 and 
2mB+tc? A? — 2 tpcA =—1, or omB=— 
atped—-tct A’ 1, and Bax 2¢PCAte AP 
2m 
21pmc? —tc* —m’ 
fee a ees AIG SM ge ee ee 
2m? 
—4tpcB—e2tA’?+tpA =o, and D= 
8 0? p? me?—rot? pc®’—4t pm c+ 7tmc® + 38? c* 
6 m* 
—2tm’c. Inthe fame manner may the values of 
6 m’* 
E, K, &c. be found; therefore, putting v =e, x == 
act B?tDe + Ect + Kei + ke. 
Scuotrum. The difficulty of deriving any prac- 
tical benefit in the prefent cafe from calculation, 
will appear from what has been done in the laft 
Problem; for, after different values of x have been — 
determined by experiment, and as many laborious 
calculations of the co-efficients of the fucceffive 
powers of v in the Algebraic expreffion for the 
fame quantity have been made, the values of f 
and g {till remain to be afcertained by reverfing the 
fame feries and others arifing from it. 
